ANALYSIS OF THIN SHELLS WITH A DOUBLY CURVED ARBITRARY QUADRILATERAL FINITE ELEMENT

An arbitrary doubly curved quadrilateral element is developed which is compatible, has rigid body freedoms and flexible geometry. It is based on a non-shallow shell theory. In oblique coordinates defined by the element geometry cubic polynomials are used for the displacement representation with biquadric polynomials used for the rotations. The membrane energy is computed from the displacements and the bending energy from the rotations. No energy due to transverse shearing is included in the element; the Kirchhoff hypothesis is used at the mesh points to define the behavior of the rotations in terms of the reference surface behavior. Extensive applications to cylindrical and spherical shell problems document its behavior.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00457949
• Corporate Authors:

  Pergamon Press, Incorporated

  Maxwell House, Fairview Park
  Elmsford, NY  United States  10523
• Authors:
  • Key, S W
• Publication Date: 1972-9

Media Info

• Features: References;
• Pagination: p. 637-673
• Serial:
  • Computers and Structures
  • Volume: 2
  • Issue Number: 4
  • Publisher: Elsevier
  • ISSN: 0045-7949

Subject/Index Terms

• TRT Terms: Cylinders (Geometry); Finite element method; Shells (Structural forms)
• Uncontrolled Terms: Cylindrical shells
• Old TRIS Terms: Shell theory; Spherical shells
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00046616
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Sep 27 1973 12:00AM